So we will be using 
form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.
Firstly, do the multiplication: 
Next, subtract 16 on both sides, and your answer will be -14 = b
Using the previous info we have, our equation is y = -8x - 14
Have you learned matrices yet? I'm going to use that to solve these, please refer to the photos.
I solved the system by using a matrix calculation. The work always needs to be shown and you do that by setting up the matrix like in the first photo and also writing out all your equations. In a TI calculator, to do this you press 2ND-X^-1,GO TO EDIT - [A] - 3×4- now enter the coefficient of the system of equations variables. NOW 2ND MODE- 2ND-X^-1 -GO TO MATH- ALPHA APPS
Now, if you don't know this you may be confuse so after rref([A]) was enter a matrix came up with [1 0 0 -21] in the top row this means x equal -21. So, the next row is y and it came out as [0 1 0 46] so y equals 46 and I'm going to let you figure out what z is by looking at the matrix.
SO... X=-21 Y=46 and Z=-10
Let's Test it
Answer:896.9
Step-by-step explanation:
Let x denotes excess premium over claims
, There are two possibilities
(i)Only husband survives
This can be possible with a possibility of 0.01
Claims=10,000
Premium collected
Thus x=1000-10,000=-9000
(ii)Both husband and wife survives
This can occur with a probability of 0.96
Here claims will be 0 as both survives
Premium taken=1000
thus x=1000
The probability that the husband survives is the sum of above cases
=0.96+0.01=0.97
Hence the desired conditional Expectation 
When I did this equation I didn’t get any of these following answer choices, I apologize… Maybe the question was worded incorrectly? Please do let me know more info in the comments underneath this answer for I truly wish to help you out here :)
(P.S my work is shown below)
